一类面积最小值问题的解法

Ways to Figure out Some Questions About Area Minimum

针对一类面积最小值问题,利用方程(fx)-(fb)+(x-a)f′(x)=0的解以及函数在[a,b]区间内的上凸函数的概念,给出了这类问题的求解方法。

Aiming at some questions about area minimum, this paper introduces some ways with the key to the equation ＂f（x）-f（b ）＋（x-a）f＇ （x）=0＂ and the concept of the convex function on interval.